/*
* INSANE - Interactive Structural Analysis Environment
*
* Copyright (C) 2003-2005
* Universidade Federal de Minas Gerais
* Escola de Engenharia
* Departamento de Engenharia de Estruturas
* 
* Author's email :    insane@dees.ufmg.br
* Author's website :  http://www.dees.ufmg.br/insane
* 
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or any later version.
* 
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
* GNU General Public License for more details.
* 
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.
*/
package br.ufmg.dees.insane.model.disc.shape;

import br.ufmg.dees.insane.model.disc.element.FrameElement;
import br.ufmg.dees.insane.util.IVector;

/**
*A class representing a shape in one dimension and cartesian coordinates.
*
*@author Fonseca, Flavio & Pitangueira, Roque
*@version 1.0
*@since September 2003
*/

public abstract class Shape1DCart extends ShapeCart {
	
//********************************************************************************
	
	/** Returns the shape function for the type of Shape, evaluated for the specified FrameElement and point (local X axis).
	*@return The shape function for the type of Shape, evaluated for the specified FrameElement and point (local X axis).
	*@param elm The specified FrameElement.
	*@param a The specified point (local X axis).
	*/
	public abstract IVector getShapeFunction(FrameElement elm, double a);
	
	/** Returns the derived shape function for the type of Shape, evaluated for the specified FrameElement and point (local X axis).
	*@return The derived shape function for the type of Shape, evaluated for the specified FrameElement and point (local X axis).
	*@param elm The specified FrameElement.
	*@param a The specified point (local X axis).
	*/
	public abstract IVector getDerivedShapeFunction(FrameElement elm, double a);
	
    /** Returns the second derivate of shape function for the type of Shape, evaluated for the specified FrameElement and point (local X axis).
    *@return The derived shape function for the type of Shape, evaluated for the specified FrameElement and point (local X axis).
    *@param elm The specified FrameElement.
    *@param a The specified point (local X axis).
    */
    public abstract IVector getSecondDerivedShapeFunction(FrameElement elm, double a);
    
	/** Returns the integrated shape function for the type of Shape, evaluated for the specified FrameElement and limits of integration.
	*@return The integrated shape function for the type of Shape, evaluated for the specified FrameElement and limits of integration.
	*@param elm The specified FrameElement.
	*@param a The initial limit of integration.
	*@param b The final limit of integration.
	*/
	public abstract IVector getIntegratedShapeFunction(FrameElement elm, double a, double b);
	
	/** Returns the integrated shape function multiplied by x for the type of Shape, evaluated for the specified FrameElement and limits of integration.
	*@return The integrated shape function multiplied by x for the type of Shape, evaluated for the specified FrameElement and limits of integration.
	*@param elm The specified FrameElement.
	*@param a The initial limit of integration.
	*@param b The final limit of integration.
	*/
	public abstract IVector getIntegratedShapeFunctionMultX(FrameElement elm, double a, double b);
	
//********************************************************************************

}
